Laura ran 100 yards in 14 seconds. to the nearest hundredth, what was her speed in mile per hour?

(0,3)

step-by-step explanation:

so i'm going to compute the distance between (3,5) and (6,5), then the distance between (6,5) and (9,1). then i'm going to choose one of the choices given (x,y), and compute it's distance from (9,1) and then to (3,5). i'm going to add up all of these distances and see if is 22 or less. if it 22 or less we are okay.

the distance between (3,5) and (6,5) is a horizontal so all we have to do is count. that distance is 6-3 which is 3.

the distance between (6,5) and (9,1) is sqrt((9-6)^2+(5-1)^2)=sqrt(3^2+4^2)=sqrt(9+16)=sqrt(25)=5.

now i'm going to look at (0,0).   the distance between (9,1) and (0,0) is sqrt((9-0)^2+(9-0)^2)=sqrt(81+81)=sqrt(162)=approximately 12.7.

the last distance to include is the one from (0,0) to (3,5).   this distance is sqrt((3-0)^2+(5-0)^2)=sqrt(9+25)=sqrt(34)=approximately 5.8

3+5+12.7+5.8=26.5 which is too much.

we probably should have selected the point that seemed closer to the others like (0,3). let's try that.

so the only two new distances we have to compute is (0,3) to (9,1) and (0,3) to (3,5).

the distance from (0,3) to (9,1) is sqrt((9-0)^2+(3-1)^2)=sqrt(9^2+2^2)=sqrt(81+4)=sqrt(85)=approximately 9.2

the distance from (0,3) to (3,5) is sqrt((3-0)^2+(5-3)^2)=sqrt(3^2+2^2)=sqrt(9+4)=sqrt(13)=approximately 3.6

now 3+5+9.2+3.6 is 20.8.

the answer is (0,3).

for apex its x=-2, x=0, x=3

step-by-step explanation: